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Finding the Fourth Proportional to 304.97, 422.96 and 301.32

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Solution

The fourth proportional to 304.97, 422.96 and 301.32 is: 417.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.97 : 422.96 = 301.32 : x
  2. Step 2: Convert to fraction form
    304.97/422.96 = 301.32/x
  3. Step 3: Cross multiply
    304.97x = 422.96 × 301.32
  4. Step 4: Simplify right side
    304.97x = 127,444.80
  5. Step 5: Solve for x
    x = 127,444.80/304.97
  6. Step 6: Final answer
    x = 417.90

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.